In this study, we have assumed that the accretion occurs only over one or several region(s) with \(\dot{M} \ne 0\) , while \(\dot{M} =0\)  outside of this. More realistically, there will be a distibution of local accretion rates covering different fractions of the surface as for CTTSs (e.g. [1]}, [2]}). The resulting line profile in this case could be a linear combination of the profiles for each hot spot, but geometrical effects (not all spots being radially directly towards the observer) will complicate this picture.
